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Finding the Third Proportional to 3,097,777.50 and 4,354,650

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Solution

The third proportional to 3,097,777.50 and 4,354,650 is: 6,121,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,777.50 : 4,354,650 = 4,354,650 : x
  2. Step 2: Convert to fraction form
    3,097,777.50/4,354,650 = 4,354,650/x
  3. Step 3: Cross multiply
    3,097,777.50x = 4,354,650 × 4,354,650
  4. Step 4: Simplify right side
    3,097,777.50x = 18,962,976,622,500
  5. Step 5: Solve for x
    x = 18,962,976,622,500/3,097,777.50
  6. Step 6: Final answer
    x = 6,121,477.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.